Now there's a thought. Maybe a stab stitch, as Tartan suggested, would make it a little easier.
I've seen stab stitch needles, or two-sided needles. They're kind of bizarre-looking until you understand what they're for. There's a point at both ends, and the eye is in the center. When you use these needles for quilting, you have one hand above the quilt, and one hand below the quilt. You push the needle through the top and grab it with your bottom hand, and since it has points on both ends, you don't need to turn it. You simply grab it with your bottom hand and stab upwards in your next stitch.